Calculate the monthly payment for a 5-year car loan of $23,570 at 10.43% interest, compounded monthly. A. $247.44 b. $337.56 c. $433.88 d. $505.79 Please select the best answer from the choices provided A B C D

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Answer:

The correct answer is option D

Step-by-step explanation:

The total amount to be paid when interest is compounded monthly

[tex]P(1 + \frac{r}{n})^{nt} \\= 23,570 (1 + \frac{\frac{10.43}{100} }{12})^{12 * 5} \\= 23, 570 * 1.68\\= 39597.6\\[/tex]

The amount to be paid per month

[tex]= \frac{39597.6}{60} \\= 660[/tex]

The nearest answer to this value is option D

The monthly payment for a 5-year car loan is $660.25

What is Compound interest?

The formula for calculating the compound interest is expressed as:

A = P(1 + r/n)^nt

Given the following

A = $23,570

r = 0.1043

t = 5 years

n = 12

Substitute into the formula

A = $23,570(1 + 0.1043/12)^60

A = $39,615.53

The monthly payment  = 39,615.53/60

The monthly payment = 660.25

Hence the monthly payment for a 5-year car loan is $660.25

Learn more on compound interest here: https://brainly.com/question/24924853